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Finding the Fourth Proportional to 1,830.78, 2,745.83 and 598.23

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Solution

The fourth proportional to 1,830.78, 2,745.83 and 598.23 is: 897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.78 : 2,745.83 = 598.23 : x
  2. Step 2: Convert to fraction form
    1,830.78/2,745.83 = 598.23/x
  3. Step 3: Cross multiply
    1,830.78x = 2,745.83 × 598.23
  4. Step 4: Simplify right side
    1,830.78x = 1,642,634.89
  5. Step 5: Solve for x
    x = 1,642,634.89/1,830.78
  6. Step 6: Final answer
    x = 897.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.